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20130113221 = 315313789431
BaseRepresentation
bin10010101111110110…
…010010011011000101
31220221220100201000221
4102233312102123011
5312211302110341
613125254104341
71311562065511
oct225766223305
956856321027
1020130113221
11859aa19009
123a9964b0b1
131b8a632aca
14d8d6b5141
157cc3bced1
hex4afd926c5

20130113221 has 16 divisors (see below), whose sum is σ = 21326312448. Its totient is φ = 18973468800.

The previous prime is 20130113203. The next prime is 20130113231. The reversal of 20130113221 is 12231103102.

It is a cyclic number.

It is not a de Polignac number, because 20130113221 - 25 = 20130113189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20130113195 and 20130113204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20130113231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180376 + ... + 269806.

It is an arithmetic number, because the mean of its divisors is an integer number (1332894528).

Almost surely, 220130113221 is an apocalyptic number.

It is an amenable number.

20130113221 is a deficient number, since it is larger than the sum of its proper divisors (1196199227).

20130113221 is a wasteful number, since it uses less digits than its factorization.

20130113221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89652.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 20130113221 its reverse (12231103102), we get a palindrome (32361216323).

The spelling of 20130113221 in words is "twenty billion, one hundred thirty million, one hundred thirteen thousand, two hundred twenty-one".

Divisors: 1 31 53 137 1643 4247 7261 89431 225091 2772361 4739843 12252047 146935133 379813457 649358491 20130113221